Leaders have toyed with the idea in order to avoid a tough vote that might not have the required support.
Lincoln is also calling on her primary opponent, Lt. Gov. Bill Halter, to renounce the maneuver.
"Arkansans and most Americans are demanding more accountability from Washington, not less, so I believe that any plan to approve major reform without actually voting for it simply won't fly outside the beltway," Lincoln said in a statement.
Lincoln was one of the final votes Senate Democratic leaders landed when they passed the health care bill. Halter is challenging her from the left.